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Finding the Fourth Proportional to 4,705.42, 6,444.05 and 4,643.91

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Solution

The fourth proportional to 4,705.42, 6,444.05 and 4,643.91 is: 6,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.42 : 6,444.05 = 4,643.91 : x
  2. Step 2: Convert to fraction form
    4,705.42/6,444.05 = 4,643.91/x
  3. Step 3: Cross multiply
    4,705.42x = 6,444.05 × 4,643.91
  4. Step 4: Simplify right side
    4,705.42x = 29,925,606.60
  5. Step 5: Solve for x
    x = 29,925,606.60/4,705.42
  6. Step 6: Final answer
    x = 6,359.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.